Results 1 to 10 of about 2,551 (283)
Geometric Inequalities for Warped Products in Riemannian Manifolds [PDF]
Mathematics, 2021 Warped products are the most natural and fruitful generalization of Riemannian products. Such products play very important roles in differential geometry and in general relativity.
Bang-Yen Chen, Adara M. Blaga
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Differential Geometry and Its Applications, 2001 The author studies the completeness of Lorentzian doubly warped products with metrics of the form \(-f^2 dt^2\oplus b^2g_F\) for positive functions \(f\) on a Riemannian manifold \(F\), \(b\) on an interval \((c,d)\).
Ünal, Bülent, Bülent Ünal
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A Geometric Obstruction for CR-Slant Warped Products in a Nearly Cosymplectic Manifold [PDF]
Mathematics, 2020 In the early 20th century, B.-Y. Chen introduced the concept of CR-warped products and obtained several fundamental results, such as inequality for the length of second fundamental form. In this paper, we obtain B.-Y.
Siraj Uddin, M. Z. Ullah
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A new characterization of slices in warped products [PDF]
Contributions to MathematicsWe show that in certain warped products, a starshaped and s-convex hypersurface for which there exists a positive constant c so that the higher order mean curvatures H_{s} and H_{s-1} satisfy Hs-1 is a slice.
Julien Roth
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Sequential Warped Products and Their Applications [PDF]
International Electronic Journal of Geometry, 2021 In this paper, we study the sequential warped product manifolds, which are the natural generalizations of singly warped products. Many spacetime models that characterize the universe and the solutions of Einstein's field equations are known to have this new structure.
Güler, Sinem, Güler, Sinem
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Homology groups in CR-warped products of complex space forms [PDF]
HeliyonIn the present paper, by using the result of Lawson-Simons [15], we adopt a different technique to show that there are no stable integral q-currents and a non-trivial homology group in a compact oriented CR-warped product submanifold Nn in a complex ...
Yanlin Li +4 more
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Warped Poisson brackets on warped products
Journal of Geometric Mechanics, 2014 In this paper, we generalize the geometry of the product pseudo-Riemannian manifold equipped with the product Poisson structure (\cite{Nas2}) to the geometry of a warped product of pseudo-Riemannian manifolds equipped with a warped Poisson structure. We construct three bivector fields on a product manifold and show that each of them lead under certain ...
Amrane, Yacine Aït +2 more
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Chen optimal inequalities of CR-warped products of generalized Sasakian space form
Journal of Taibah University for Science, 2020 Our main objective of this paper is to derive the relationship between the main extrinsic invariant, and the contact CR δ-invariant (new intrinsic invariant) on a generic submanifold in trans-Sasakian generalized Sasakian space forms.
Aliya Naaz Siddiqui +2 more
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On Landsberg Warped Product Metrics [PDF]
Zurnal matematiceskoj fiziki, analiza, geometrii, 2021 In the present paper the authors discuss the Finsler warped product metrics. They study the Berwald curvature of Finsler warped product metrics. They characterize the Finsler warped product metrics of isotropic Berwald curvature and deduce that they are Randers metrics (Theorem 1.2).
Gabrani, Mehran +2 more
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Some results on the geometry of warped product CR-submanifolds in quasi-Sasakian manifold
Cubo, 2022 The present paper deals with a study of warped product submanifolds of quasi-Sasakian manifolds and warped product CR-submanifolds of quasi-Sasakian manifolds.
Shamsur Rahman
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